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140212240 = 24573767101
BaseRepresentation
bin10000101101101…
…11100000010000
3100202211112000221
420112313200100
5241343242430
621525122424
73321533020
oct1026674020
9322745027
10140212240
1172167593
123ab59414
1323082b2c
141489ba80
15c49957a
hex85b7810

140212240 has 160 divisors (see below), whose sum is σ = 392189184. Its totient is φ = 45619200.

The previous prime is 140212217. The next prime is 140212249. The reversal of 140212240 is 42212041.

140212240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140212249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388190 + ... + 1388290.

Almost surely, 2140212240 is an apocalyptic number.

140212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196094592).

140212240 is an abundant number, since it is smaller than the sum of its proper divisors (251976944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140212240 is a wasteful number, since it uses less digits than its factorization.

140212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 140212240 is about 11841.1249465581. The cubic root of 140212240 is about 519.5116717355.

Adding to 140212240 its reverse (42212041), we get a palindrome (182424281).

It can be divided in two parts, 14021 and 2240, that added together give a palindrome (16261).

The spelling of 140212240 in words is "one hundred forty million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 67 70 74 80 101 112 134 140 148 185 202 259 268 280 296 335 370 404 469 505 518 536 560 592 670 707 740 808 938 1010 1036 1072 1295 1340 1414 1480 1616 1876 2020 2072 2345 2479 2590 2680 2828 2960 3535 3737 3752 4040 4144 4690 4958 5180 5360 5656 6767 7070 7474 7504 8080 9380 9916 10360 11312 12395 13534 14140 14948 17353 18685 18760 19832 20720 24790 26159 27068 28280 29896 33835 34706 37370 37520 39664 47369 49580 52318 54136 56560 59792 67670 69412 74740 86765 94738 99160 104636 108272 130795 135340 138824 149480 173530 189476 198320 209272 236845 250379 261590 270680 277648 298960 347060 378952 418544 473690 500758 523180 541360 694120 757904 947380 1001516 1046360 1251895 1388240 1752653 1894760 2003032 2092720 2503790 3505306 3789520 4006064 5007580 7010612 8763265 10015160 14021224 17526530 20030320 28042448 35053060 70106120 140212240